Multiple Solutions for a Henon-Like Equation on the Annulus

Marta Calanchi, Simone Secchi, Elide Terraneo

For the equation (-Δu = | |x|-2 |^αu^{p-1}), (1 < |x| < 3), we prove the existence of two solutions for (α) large, and of two additional solutions when (p) is close to the critical…